155/78 as a Decimal and Mixed Number

155/78 as a decimal and mixed number expansion provides the detailed information about what is 155/78 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

155/78 as a Decimal
155/78 = 1.9872
Hence,
155/78 as a decimal equals to 1.9872
where,
155/78 is a given fraction,
The decimal expansion of 155/78 is 1.9872

155/78 as a Mixed Number
155/78 = (78 + 77)/78
= 78/78 + 77/78
= 1 + 77/78
= 1 77/78
155/78 = 1 77/78

Hence,
155/78 as a mixed number is 1 ⁷⁷/₇₈
where,
155/78 is a given fraction,
1 ⁷⁷/₇₈ is the mixed number representation of 155/78.

The below work with steps provide the detailed information about how to convert fraction 155/78 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 155/78

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 155/78.

step 2 The numerator is greater than the denominator of the fraction 155/78, so write the given fraction in the expression form in terms of denominator as like the below:
= 155/78
= 78 + 77/78

step 3 Make the above expression as individual fractions:
= 78/78 + 77/78

step 4 Simplify the above expression:
= 1 x 78/78 + 77/78
= 1 + 77/78
1 + 77/78 can be written as a mixed number 1 ⁷⁷/₇₈.


step 5 Find the decimal equivalent for the fractional part 77/78 in the above expression:
= 1 + 0.9872
= 1.9872
155/78 = 1.9872

Hence,
155/78 as a decimal is 1.9872
155/78 as a mixed number is 1 ⁷⁷/₇₈